CP and CPT violation and non-cyclic phase

Capolupo, Antonio

doi:10.1088/1742-6596/306/1/012066

J. Phys.: Conf. Ser.

2011

DOI: 10.1088/1742-6596/306/1/012066

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CP and CPT violation and non-cyclic phase

Antonio Capolupo

Abstract: The presence of non-cyclic phases is revealed in the time evolution of mixed meson systems. Such phases are related to the parameter z describing the CP T violation; moreover, a non zero phase difference between particle and antiparticle arises only in presence of CP T symmetry breaking. Thus, a completely new test for the CP T invariance can be provided by the study of such phases in mixed mesons. Systems which are particularly interesting for such an analysis are the B 0 s −B 0 s and the K 0 −K 0 ones. In or… Show more

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“…The characteristics of mixed neutrino evolution can be recognized by the geometric phase [19,20]. Especially, such a geometric phase can be observed in the experiments.…”

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confidence: 98%

Exploration of CPT violation via time-dependent geometric quantities embedded in neutrino oscillation through fluctuating matter

Pan

2017

Nuclear Physics B

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We propose a new approach to explore CPT violation of neutrino oscillations through a fluctuating matter based on time-dependent geometric quantities. By mapping the neutrino oscillations onto a Poincaré sphere structure, we obtain an analytic solution of master equation and further define the geometric quantities, i.e., radius of Poincaré sphere and geometric phase. We find that the mixing process between electron and muon neutrinos can be described by the radius of Poincaré sphere that depends on the intrinsic CP-violating angle. Such a radius reveals a dynamic mechanism of CPTviolation, i.e., both spontaneous symmetry breaking and Majorana-Dirac neutrino confusion. We show that the time-dependent geometric phase can be used to find the neutrino nature and observe the CPT-violation because it is strongly enhanced under the neutrino propagation. We further show that the time-dependent geometric phase can be easily detected by simulating the neutrino oscillation based on fluctuating magnetic fields in nuclear magnetic resonance, which makes the experimental observation of CPT-violation possible in the neutrino mixing and oscillations. PACS numbers: 14.60.Pq,03.65.Vf, 03.65.Yz I. INTRODUCE Neutrino mixing and oscillations are important to investigate new physics beyond the Standard Model of elementary particle physics, and also involve in hot issues on both astro-particle physics and cosmology [1-3]. Experimentally and theoretically, a set of important and fundamental problems, such as the neutrino mass, the nature of the Dirac vs Majorana neutrino or Majorana-Dirac confusion theorem [4], and the validity of CPT symmetry, has been under the debate [5][6][7][8][9]. The interference of the neutrino oscillations [10,11] can be used to test the CPT symmetry and the neutrino nature based effectively on the geometric phase, which provides an unconventional approach to probe CPT-violation beside the neutron electric dipole moment [12].The evolution of neutrinos involved the weak interactions leads to the CP-violation in a given flavor space, where the extrinsic CP-violating phases can mimic the characteristics of intrinsic CP-violating phases in the leptonic mixing matrix [13,[13][14][15][16].The neutrino oscillations observed so far can be explained in terms of three flavor space, i.e., active electron neutrino ν e , muon neutrino ν µ and τ neutrino ν τ , where the extrinsic CP violation is disentangled from the intrinsic one by the CP-violating observable [17]. An alternative method to treat neutrino oscillations has attracted extensive interests * zishengwang@yahoo.com † huipan@umac.mo

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“…The characteristics of mixed neutrino evolution can be recognized by the geometric phase [19,20]. Especially, such a geometric phase can be observed in the experiments.…”

mentioning

confidence: 98%

Exploration of CPT violation via time-dependent geometric quantities embedded in neutrino oscillation through fluctuating matter

Pan

2017

Nuclear Physics B

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CP and CPT violation and non-cyclic phase

Cited by 1 publication

References 35 publications

Exploration of CPT violation via time-dependent geometric quantities embedded in neutrino oscillation through fluctuating matter

Exploration of CPT violation via time-dependent geometric quantities embedded in neutrino oscillation through fluctuating matter

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